Natural Frequencies of Composite Beams Having Variable Fiber Volume Fraction Including Rotary Inertia and Shear Deformation

Y. Bedjilili; A. Tounsi; H. M. Berrabah; I. Mechab; E. A. Adda Bedia; S. Benaissa

doi:10.3879/j.issn.1000-0887.2009.06.006

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Y. Bedjilili, A. Tounsi, H. M. Berrabah, I. Mechab, E. A. Adda Bedia, S. Benaissa. Natural Frequencies of Composite Beams Having Variable Fiber Volume Fraction Including Rotary Inertia and Shear Deformation[J]. Applied Mathematics and Mechanics, 2009, 30(6): 667-676. doi: 10.3879/j.issn.1000-0887.2009.06.006

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Natural Frequencies of Composite Beams Having Variable Fiber Volume Fraction Including Rotary Inertia and Shear Deformation

doi: 10.3879/j.issn.1000-0887.2009.06.006

1.
Département de Génie Mécanique, Faculté des Sciences del'ingénieur, Université de Tlemcen, Algérie;
Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, Algérie;
Laboratoire de Mathématiques, Université de Sidi Bel Abbes, Algérie

Received Date: 2008-08-12
Rev Recd Date: 2009-04-01
Publish Date: 2009-06-15

Abstract

Abstract

The vibration analysis of symmetrically composite beams having a variable fiber volume fraction through the thickness was concerned with.First-order shear deformation and rotary inertia were included in the analysis.The solution procedure is applicable to arbitrary boundary conditions.Continuous gradation of the fiber volume fraction is modelled in the form of an mthpower polynomial of the coordinate axis in thickness direction of the beam.By varying the fiber volume fraction within the symmetric composite beam to create a functionally graded material (FGM),certain vibration characteristics can be affected.Results have been presented to demonstrate the effect of shear deformation,fiber volume fraction and boundary conditions on the natural frequencies and mode shapes of composite beams.
- free vibration,
- functionally graded materials,
- firstorder shear deformation theory

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References(18)

References

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